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Uncategories Differentiation of Exponential and Logarithmic Functions

Differentiation of Exponential and Logarithmic Functions

tháng 1 07, 2019
Exponential functions and their corresponding inverse functions, called logarithmic functions, have the following differentiation formulas:

  Note that the exponential function f( x) = e x has the special property that its derivative is the function itself, f′( x) = e x= f( x).
Example 1: Find f′( x) if

   


Example 2: Find y′ if .

  


Example 3: Find f′( x) if f( x) = 1n(sin x).

  


Example 4: Find  if y=log 10(4 x 2 − 3 x −5).

  
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